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Modelling-Workshop Freising 27th-29th April, 2010
Application of the simulation models THESEUS and
HYDRUS-1D at different european forested test
sites
Martin Wegehenkel
Institute of Landscape Systems Analysis
ZALF Müncheberg
Modelling-Workshop Freising 27th-29th April, 2010
• Outline:
• Application of the models THESEUS (Wegehenkel, 2005) and HYDRUS-1D (Simunek et al., 2008) at 9 forested experimental test sites
• Test and comparison of both models
• Analysis of simulation precision and data quality
• Presentation of some selected results: Celerina, Solling Spruce and Solling Beech
Modelling-Workshop Freising 27th-29th April, 2010
Hydrus-1D (Simunek et al. 2008) THESEUS (Wegehenkel 2005)
Time scale Minutes – Years Days – Years
Profile discretization 1 cm layer = 90-280 layers depending on soil profile depth
10 cm layer = 9 -20 layers depending on soil profile depth
Time Step Seconds - daily Minutes-daily
Met. Data Time series of net precipitation, evaporation, transpiration calculated by THESEUS and LAI from the data providers
Time series of precipitation, temperature, global radiation, air humidity and wind speed
Vegetation - Semiempirical forest model using external time series of LAI and rooting depth as driver variables
Evapotranspiration - Penman-Monteith equation based on algorithms obtained from the model FOREST_BGC (Running et al. 1991)
Interception - Single linear storage using LAI
Ψ(θ) and K(Ψ) Van Genuchten (1980) Van Genuchten (1980)
Soil water fluxes Richards-Equation using numerical solution
Simple Richards equation using the model SAWAH (Ten Berge et al. 1998)
Inverse modelling Hydraulic parameters using time series of measured pressure heads, soil water contents and fluxes
No
Heat transport Yes No
Dual porosity Yes No
Solute transport Yes No
Graphical uses interface Yes No
Comparison of the actual model set up for Hydrus-1D and THESEUS
Modelling-Workshop Freising 27th-29th April, 2010
Forest-Model
1. Calculation of potential transpiration Tpot in mm d-1 (RUNNING und COUGHLAN 1988, RUNNING und
GOWER 1991)
10001
sec LAIT
ar
cr
ar
vpd
pc
crad
Tpot
= slope of the function saturation vapour pressure versus air temperature (mbar K-1), radc = Net
radiation (W m-2), cp = specific heat of air at constant pressure (J kg-1 K-1), = air density (kg m-3), vpd
= vapour pressure deficit (mbar), ra = aerodynamic resistance (s m-1) = Psychrometerkonstante, rc =
canopy resistance (s m-1), Tsec = day length (sec), = latent heat (J kg-1), LAI = Leaf area index (m2 m-2)
2. Interception using specific interception capacity of the forest stand IC (mm d-1): sec,
TradICLAICICMinInt c
ic
CIC = specific interception coefficient (LAI-1 d-1).
3. Evaporation PE in mm d-1
IntTrad
PE c sec
Transpirationmodel THESEUS
Modelling-Workshop Freising 27th-29th April, 2010
Modelling procedures:
• No correction of precipitation inputs
• The Van Genuchten parameters θs, θr, α and n were estimated by the
program SHYPFIT (Durner 2005) using the provided soil water contents
at pF4.2 (=WP), pF2.0 (=FC) and pF0.0 (=total porosity)
• θs, θr, α and n for organic layers obtained from literature
• Initial moisture conditions obtained from the corresponding data set
• Uncalibrated (= no parameter optimization) application of THESEUS at
the test sites Celerina, Solling Beech and Solling Spruce
• Using LAI, rooting depth and phenogical data from the corresponding
data sets
• THESEUS provides time series of net precipitation, evaporation,
transpiration, LAI and rooting depth as input and upper boundary
condition for the application of HYDRUS-1D
• Inverse modelling of hydraulic parameters with Hydrus-1D using time
series of measured pressure heads at the Solling Spruce test site
• Using optimized hydraulic parameter set in the application of Hydrus-1D
and THESEUS at the Solling spruce test site
Modelling-Workshop Freising 27th-29th April, 2010
Comparison of simulated (by THESEUS) and measured daily throughfall,
Solling Spruce
Modelling-Workshop Freising 27th-29th April, 2010
Daily rates of precipitation (Prc in mm d-1), measured and simulated pressure
heads in 10 cm, 20 cm, and 40 cm depth (Prh10-Prh40 in hPa), Solling Spruce
Modelling-Workshop Freising 27th-29th April, 2010
Daily rates of precipitation (Prc in mm d-1), measured and simulated pressure
heads in 100 and 180 cm depth (Prh100-Prh180 in hPa), Solling Spruce
Modelling-Workshop Freising 27th-29th April, 2010
Daily rates of precipitation (Prc in mm d-1), measured and simulated soil water
contents in 2 cm depth (Swc2 in Vol%), Solling Spruce
Modelling-Workshop Freising 27th-29th April, 2010
Comparison of simulated and measured soil water contents,
Solling Spruce, 2cm depth
Hydrus-1D THESEUS
Modelling-Workshop Freising 27th-29th April, 2010
Comparison of simulated (byTHESEUS) and measured daily
throughfall, Celerina (left) and Solling beech (right)
Modelling-Workshop Freising 27th-29th April, 2010
Daily rates of precipitation (Prc in mm d-1), measured and simulated pressure
heads in 15 cm, 30 cm, 50 cm and 80 cm depth (Prh15-Prh80 in hPa), Celerina
Modelling-Workshop Freising 27th-29th April, 2010
Daily rates of precipitation (Prc in mm d-1), measured and simulated pressure
heads in 10 cm, 20 cm and 40 cm depth (Prh10-Prh40 in hPa), Solling Beech
Modelling-Workshop Freising 27th-29th April, 2010
Daily rates of precipitation (Prc in mm d-1), measured and simulated pressure
heads in 100 cm and 180 cm depth (Prh100-Prh180 in hPa), Solling Beech
Modelling-Workshop Freising 27th-29th April, 2010
• Preliminary conclusions:
• Van Genuchten Parameter estimation with only three points – uncertainty in hydraulic functions.
• Van Genuchten Parameters for organic layers difficult to identify
• THESEUS model had problems with stagnant water and saturated conditions at the lower soil profile boundary – due to the simple procedure to solve the RICHARD‘s equation (see results for Solling beech site).
• Inverse modelling procedures depend on the quality of the data used for the objective function and reliable estimates of the range of the parameters.
• In the actual state, overall simulation quality of both models using e.g. the comparison of simulated with measured soil water contents is bad (see 2cm depth at Solling Spruce site).
• Check of model calculations and measured data.
Modelling-Workshop Freising 27th-29th April, 2010
Thank you for your attention !
A special thank to the organizers of the workshop
and the data providers as well !